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Finding the Third Proportional to 15,331.78 and 31,176.14

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Solution

The third proportional to 15,331.78 and 31,176.14 is: 63,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,331.78 : 31,176.14 = 31,176.14 : x
  2. Step 2: Convert to fraction form
    15,331.78/31,176.14 = 31,176.14/x
  3. Step 3: Cross multiply
    15,331.78x = 31,176.14 × 31,176.14
  4. Step 4: Simplify right side
    15,331.78x = 971,951,744.27
  5. Step 5: Solve for x
    x = 971,951,744.27/15,331.78
  6. Step 6: Final answer
    x = 63,394.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.